Pith Number

pith:GBN5XAOJ

pith:2025:GBN5XAOJWCVFBLIJK4MC7HWOSV

not attested not anchored not stored refs pending

Treatment effect extrapolation in the presence of unmeasured confounding

Matthew Sperrin, Ricardo Silva, Stephanie Riley

arxiv:2509.06045 v1 · 2025-09-07 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBN5XAOJWCVFBLIJK4MC7HWOSV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:06:28.831878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305bdb81c9b0aa50ad0957182f9ece955fb245e8e4e687732f721c3ca49a5c1a

Aliases

arxiv: 2509.06045 · arxiv_version: 2509.06045v1 · doi: 10.48550/arxiv.2509.06045 · pith_short_12: GBN5XAOJWCVF · pith_short_16: GBN5XAOJWCVFBLIJ · pith_short_8: GBN5XAOJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GBN5XAOJWCVFBLIJK4MC7HWOSV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 305bdb81c9b0aa50ad0957182f9ece955fb245e8e4e687732f721c3ca49a5c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffe2bc0c0e08bb892c3103ef9e17ec6f4104a5e745cc8d5a476e4a075ca4185c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-09-07T13:13:01Z",
    "title_canon_sha256": "626ccb4e83371257a7cb1d5b6f1d52b7de18a19322870082c79517769c40d571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06045",
    "kind": "arxiv",
    "version": 1
  }
}